48957487447680 has 1536 divisors, whose sum is σ = 203786990184960. Its totient is φ = 11000651710464.

The previous prime is 48957487447663. The next prime is 48957487447751. The reversal of 48957487447680 is 8674478475984.

48957487447680 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 74 + 8 + 74 + 476 + 8 + 0 = 666.

48957487447680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 48957487447680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16578897084 + ... + 16578900036.

It is an arithmetic number, because the mean of its divisors is an integer number (132673821735).

Almost surely, 2^{48957487447680} is an apocalyptic number.

48957487447680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48957487447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101893495092480).

48957487447680 is an abundant number, since it is smaller than the sum of its proper divisors (154829502737280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48957487447680 is a wasteful number, since it uses less digits than its factorization.

48957487447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 12138577920, while the sum is 81.

The spelling of 48957487447680 in words is "forty-eight trillion, nine hundred fifty-seven billion, four hundred eighty-seven million, four hundred forty-seven thousand, six hundred eighty".